A Novel Approach for Computing Rigid Body Motion Using Linear Accelerations
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Here, a novel approach is presented for computing general rigid body motion based on a few known linear accelerations. This method utilizes linear acceleration data obtained from three distinct points on the body, all within a body-fixed reference frame. The only requirement is that the three chosen points must not be collinear. A system of differential-algebraic equations is derived, combining principles of rigid body kinematics with theory of the rotation group SO(3). These equations provide a framework for numerically computing various motion parameters, including angular velocity, angular acceleration, body orientation, velocity field, acceleration field, and displacement field. By numerically solving this system of equations, we can fully characterize rigid body motion in three-dimensional space. A numerical example is provided to demonstrate the practical implementation and efficacy of the proposed technique, illustrating its potential for accurate motion computation in various applications.
- Research Organization:
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- NA0003525
- OSTI ID:
- 2565125
- Report Number(s):
- SAND--2025-05680J
- Journal Information:
- Journal of Applied Mechanics, Journal Name: Journal of Applied Mechanics Journal Issue: 9 Vol. 92; ISSN 0021-8936
- Publisher:
- ASMECopyright Statement
- Country of Publication:
- United States
- Language:
- English
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